Simulation of particle/fluid flows in vertical circular pipes

A two fluid continuum model is applied to the simulation of steady fully developed particle/fluid flow in a vertical circular pipe. Both closed form and numerical solutions are obtained to the associated governing equations. These solutions are compared to the predictions of another two fluid continuum model. These comparisons are used to illustrate the differences in the predictions of two widely used models, even in the fundamental problem of steady flow in a circular pipe.     

Low dimensional chaos in the AT and GC skew profiles of DNA sequences

This paper investigates the existence of low-dimensional deterministic chaos in the AT and GC skew profiles of DNA sequences. It has taken DNA sequences from eight organisms as samples. The skew profiles are analysed using continuous wavelet transform and then nonlinear time series methods. The invariant measures of correlation dimension and the largest Lyapunov exponent are calculated. It is demonstrated that the AT and GC skew profiles of these DNA sequences all exhibit low dimensional chaotic behaviour. It suggests that chaotic properties may be ubiquitous in the DNA sequences of all organisms.     

Spherically symmetric inhomogeneous dust collapse in higher dimensional space-time and cosmic censorship hypothesis

We consider a collapsing spherically symmetric inhomogeneous dust cloud in higher dimensional space-time. We show that the central singularity of collapse can be a strong curvature or a weak curvature naked singularity depending on the initial density distribution.     

有限维希尔伯特空间非简谐振子广义相干态

在有限维希尔伯特空间中构造了非简谐振子的广义相干态,并研究了其量子统计特性。详细地讨论了该量子态的压缩效应和反聚束效应,得到了出现压缩的条件并给陋了反聚束效应与有限维希尔伯特空间维数关系的数值计算结果。理论计算表明该量子态存在压缩效应和反聚束效应,这与通常的无限维空间中的广义相干态是完全不同的。     

The effects of a trace addition of silver upon elevated temperature ageing of an Al–Zn–Mg alloy

Microalloying additions of Ag (0.1 at.%) increase the hardening response of Al–Zn–Mg alloys to elevated temperature ageing in the range 100–200°C due to the formation of a high density of very fine η′ precipitate plates. The present study employed transmission electron microscopy (TEM) and three-dimension atom probe (3DAP) to study the early stages of ageing in the alloy Al–1.8Zn–3.4Mg–0.1Ag (at.%) in an attempt to identify the role of Ag in stimulating precipitation hardening. During isothermal ageing at 90°C, the hardening response is attributed to a high density of Zn–Mg–Ag rich solute clusters and GP zones. During ageing at 150°C, η′ precipitates nucleate at Zn–Mg–Ag rich solute clusters, the former growing as {111} platelets with an average composition of approximately 20 at.% Zn, 20 at.% Mg and 1.4 at.% Ag. The 3DAP data indicates that the co-segregation of Zn and Ag and subsequently Zn and Mg atoms precedes the formation of the Zn–Mg–Ag rich solute clusters. The GP zones and η′ precipitates were observed to possess a Zn:Mg ratio close to 1:1, whereas the equilibrium η precipitates possessed compositions consistent with MgZn₂. Furthermore, partitioning of Ag was observed inside all precipitate phases, viz. G.P. zones, η′ and η.     

用直接方法和希耳伯变换计算二维瞬态势及其梯度

本文用直接方法和希耳伯变换给出了计算二维瞬态势及其梯度的新方法.这种方法可以计算复杂度从传统的O(N_t²)降低到O(N_t).在计算势及其梯度时,该方法的直接计算中所用的权重因子不随时间变化,因此它们只需在第一个时间步长时计算一次.所以,当用于二维瞬态散射的时间推进算法中时,该方法可节省大量的CPU时间.数值结果表明该方法的精度非常高.     

生物样品的散射和吸收特性对双光子激发和共焦成象深度的影响

本文研究了生物样品的散射和吸收特性对双光子激发和共焦成象深度的影响.生物组织内30μm的成象结果表明,双光子激发具有比共焦成象更深的成象深度.来自生物组织的模型实验和蒙特卡罗模拟均表明,散射和吸收的影响是导致这一特点的重要原因.     

D维各向异性q变形振子及其波函数

把一维q变形振子的结论推广到D维q变形振子体系,得到了D维q变形振子体系的哈密顿算符形式,并求出了其本征值和在坐标象中的本征函数.结果显示,这是一个非线性振子.     

两偶极相互作用原子系统中的偶极平方压缩

研究了两个存在偶极相互作用的原子系统中的偶极平方压缩效应,讨论了原子偶极相互作用以及相位信息对压缩效应的影响,并进而探讨了原子偶极平方压缩与光场振幅平方压缩之间的关联.     

PARISI-SOURLAS CONFINEMENT MECHANISM OF QUANTUM CHROMODYNAMICS

Using Parisi and Sourlas dimensional reduction, four-dimensional quantum chromodynamics is reduced to a two-dimensional principal chiral model by suitable superspace embedding. The frame T^a cannot be regarded as a fixed one and the frame connection field \varω_μ(x) becomes a dynamical gauge field in two dimensions, giving rise to a confining potential. As a result of the original SU(3) Yang-Mills field obtains another SU(3) local symmetry and turns into SU(3)×SU(3) local symmetry－one group element as exp (iδ\varphi^aT^a) with fixed frame T^a, the other gauging the frame T^a.